Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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At 429 K, this reaction has a \( K_c \) value of 0.0407.

\[ \text{X(g)} + 2 \text{Y(g)} \rightleftharpoons \text{Z(g)} \]

Calculate \( K_p \) at 429 K. Note that the pressure is in units of atmosphere (atm).

\[ K_p = \]

--- 

In this exercise, you are asked to calculate the equilibrium constant \( K_p \) at 429 K for a given chemical reaction, using the given \( K_c \) value. The conversion between \( K_c \) and \( K_p \) involves using the equation:

\[ K_p = K_c(RT)^{\Delta n} \]

Where:
- \( R \) is the ideal gas constant (0.0821 L·atm/mol·K).
- \( T \) is the temperature in Kelvin.
- \( \Delta n \) is the change in moles of gas (moles of gaseous products minus moles of gaseous reactants).

In this reaction:
\[ \Delta n = (\text{moles of Z}) - (\text{moles of X + moles of 2Y}) = 1 - (1 + 2) = -2 \]

Use this information to find \( K_p \).
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Transcribed Image Text:At 429 K, this reaction has a \( K_c \) value of 0.0407. \[ \text{X(g)} + 2 \text{Y(g)} \rightleftharpoons \text{Z(g)} \] Calculate \( K_p \) at 429 K. Note that the pressure is in units of atmosphere (atm). \[ K_p = \] --- In this exercise, you are asked to calculate the equilibrium constant \( K_p \) at 429 K for a given chemical reaction, using the given \( K_c \) value. The conversion between \( K_c \) and \( K_p \) involves using the equation: \[ K_p = K_c(RT)^{\Delta n} \] Where: - \( R \) is the ideal gas constant (0.0821 L·atm/mol·K). - \( T \) is the temperature in Kelvin. - \( \Delta n \) is the change in moles of gas (moles of gaseous products minus moles of gaseous reactants). In this reaction: \[ \Delta n = (\text{moles of Z}) - (\text{moles of X + moles of 2Y}) = 1 - (1 + 2) = -2 \] Use this information to find \( K_p \).
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